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Finding the Fourth Proportional to 5,656.70, 8,484.65 and 1,761.01

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Solution

The fourth proportional to 5,656.70, 8,484.65 and 1,761.01 is: 2,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.70 : 8,484.65 = 1,761.01 : x
  2. Step 2: Convert to fraction form
    5,656.70/8,484.65 = 1,761.01/x
  3. Step 3: Cross multiply
    5,656.70x = 8,484.65 × 1,761.01
  4. Step 4: Simplify right side
    5,656.70x = 14,941,530.08
  5. Step 5: Solve for x
    x = 14,941,530.08/5,656.70
  6. Step 6: Final answer
    x = 2,641.39

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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.