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Finding the Fourth Proportional to 5,205,798.24, 7,810,927.49 and 2,013,166.43

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Solution

The fourth proportional to 5,205,798.24, 7,810,927.49 and 2,013,166.43 is: 3,020,612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205,798.24 : 7,810,927.49 = 2,013,166.43 : x
  2. Step 2: Convert to fraction form
    5,205,798.24/7,810,927.49 = 2,013,166.43/x
  3. Step 3: Cross multiply
    5,205,798.24x = 7,810,927.49 × 2,013,166.43
  4. Step 4: Simplify right side
    5,205,798.24x = 15,724,697,010,032.16
  5. Step 5: Solve for x
    x = 15,724,697,010,032.16/5,205,798.24
  6. Step 6: Final answer
    x = 3,020,612.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.