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Finding the Fourth Proportional to 4,210.48, 5,810.08 and 4,068.93

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Solution

The fourth proportional to 4,210.48, 5,810.08 and 4,068.93 is: 5,614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.48 : 5,810.08 = 4,068.93 : x
  2. Step 2: Convert to fraction form
    4,210.48/5,810.08 = 4,068.93/x
  3. Step 3: Cross multiply
    4,210.48x = 5,810.08 × 4,068.93
  4. Step 4: Simplify right side
    4,210.48x = 23,640,828.06
  5. Step 5: Solve for x
    x = 23,640,828.06/4,210.48
  6. Step 6: Final answer
    x = 5,614.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.