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Finding the Fourth Proportional to 3,645.47, 5,030.16 and 2,153.18

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Solution

The fourth proportional to 3,645.47, 5,030.16 and 2,153.18 is: 2,971.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.47 : 5,030.16 = 2,153.18 : x
  2. Step 2: Convert to fraction form
    3,645.47/5,030.16 = 2,153.18/x
  3. Step 3: Cross multiply
    3,645.47x = 5,030.16 × 2,153.18
  4. Step 4: Simplify right side
    3,645.47x = 10,830,839.91
  5. Step 5: Solve for x
    x = 10,830,839.91/3,645.47
  6. Step 6: Final answer
    x = 2,971.04

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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.