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Finding the Fourth Proportional to 6,024.47, 9,032.84 and 2,898.25

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Solution

The fourth proportional to 6,024.47, 9,032.84 and 2,898.25 is: 4,345.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.47 : 9,032.84 = 2,898.25 : x
  2. Step 2: Convert to fraction form
    6,024.47/9,032.84 = 2,898.25/x
  3. Step 3: Cross multiply
    6,024.47x = 9,032.84 × 2,898.25
  4. Step 4: Simplify right side
    6,024.47x = 26,179,368.87
  5. Step 5: Solve for x
    x = 26,179,368.87/6,024.47
  6. Step 6: Final answer
    x = 4,345.51

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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.