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Finding the Fourth Proportional to 3,152.04, 4,724.58 and 1,302.14

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Solution

The fourth proportional to 3,152.04, 4,724.58 and 1,302.14 is: 1,951.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.04 : 4,724.58 = 1,302.14 : x
  2. Step 2: Convert to fraction form
    3,152.04/4,724.58 = 1,302.14/x
  3. Step 3: Cross multiply
    3,152.04x = 4,724.58 × 1,302.14
  4. Step 4: Simplify right side
    3,152.04x = 6,152,064.60
  5. Step 5: Solve for x
    x = 6,152,064.60/3,152.04
  6. Step 6: Final answer
    x = 1,951.77

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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.