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Finding the Fourth Proportional to 4,924.32, 7,384.02 and 1,802.10

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Solution

The fourth proportional to 4,924.32, 7,384.02 and 1,802.10 is: 2,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.32 : 7,384.02 = 1,802.10 : x
  2. Step 2: Convert to fraction form
    4,924.32/7,384.02 = 1,802.10/x
  3. Step 3: Cross multiply
    4,924.32x = 7,384.02 × 1,802.10
  4. Step 4: Simplify right side
    4,924.32x = 13,306,742.44
  5. Step 5: Solve for x
    x = 13,306,742.44/4,924.32
  6. Step 6: Final answer
    x = 2,702.25

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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.