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Finding the Fourth Proportional to 3,870.65, 5,802.01 and 1,529.71

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Solution

The fourth proportional to 3,870.65, 5,802.01 and 1,529.71 is: 2,292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.65 : 5,802.01 = 1,529.71 : x
  2. Step 2: Convert to fraction form
    3,870.65/5,802.01 = 1,529.71/x
  3. Step 3: Cross multiply
    3,870.65x = 5,802.01 × 1,529.71
  4. Step 4: Simplify right side
    3,870.65x = 8,875,374.39
  5. Step 5: Solve for x
    x = 8,875,374.39/3,870.65
  6. Step 6: Final answer
    x = 2,292.99

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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.