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Finding the Fourth Proportional to 5,602.02, 7,730.82 and 3,084.14

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Solution

The fourth proportional to 5,602.02, 7,730.82 and 3,084.14 is: 4,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.02 : 7,730.82 = 3,084.14 : x
  2. Step 2: Convert to fraction form
    5,602.02/7,730.82 = 3,084.14/x
  3. Step 3: Cross multiply
    5,602.02x = 7,730.82 × 3,084.14
  4. Step 4: Simplify right side
    5,602.02x = 23,842,931.19
  5. Step 5: Solve for x
    x = 23,842,931.19/5,602.02
  6. Step 6: Final answer
    x = 4,256.13

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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.