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Finding the Fourth Proportional to 4,335.64, 6,500.76 and 1,869.10

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Solution

The fourth proportional to 4,335.64, 6,500.76 and 1,869.10 is: 2,802.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.64 : 6,500.76 = 1,869.10 : x
  2. Step 2: Convert to fraction form
    4,335.64/6,500.76 = 1,869.10/x
  3. Step 3: Cross multiply
    4,335.64x = 6,500.76 × 1,869.10
  4. Step 4: Simplify right side
    4,335.64x = 12,150,570.52
  5. Step 5: Solve for x
    x = 12,150,570.52/4,335.64
  6. Step 6: Final answer
    x = 2,802.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.