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Finding the Fourth Proportional to 3,646.07, 5,030.43 and 2,154.51

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Solution

The fourth proportional to 3,646.07, 5,030.43 and 2,154.51 is: 2,972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.07 : 5,030.43 = 2,154.51 : x
  2. Step 2: Convert to fraction form
    3,646.07/5,030.43 = 2,154.51/x
  3. Step 3: Cross multiply
    3,646.07x = 5,030.43 × 2,154.51
  4. Step 4: Simplify right side
    3,646.07x = 10,838,111.74
  5. Step 5: Solve for x
    x = 10,838,111.74/3,646.07
  6. Step 6: Final answer
    x = 2,972.55

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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.