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Finding the Fourth Proportional to 4,875.90, 7,304.64 and 2,407.84

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Solution

The fourth proportional to 4,875.90, 7,304.64 and 2,407.84 is: 3,607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.90 : 7,304.64 = 2,407.84 : x
  2. Step 2: Convert to fraction form
    4,875.90/7,304.64 = 2,407.84/x
  3. Step 3: Cross multiply
    4,875.90x = 7,304.64 × 2,407.84
  4. Step 4: Simplify right side
    4,875.90x = 17,588,404.38
  5. Step 5: Solve for x
    x = 17,588,404.38/4,875.90
  6. Step 6: Final answer
    x = 3,607.21

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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.