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Finding the Fourth Proportional to 4,332.88, 6,500.58 and 1,559.50

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Solution

The fourth proportional to 4,332.88, 6,500.58 and 1,559.50 is: 2,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.88 : 6,500.58 = 1,559.50 : x
  2. Step 2: Convert to fraction form
    4,332.88/6,500.58 = 1,559.50/x
  3. Step 3: Cross multiply
    4,332.88x = 6,500.58 × 1,559.50
  4. Step 4: Simplify right side
    4,332.88x = 10,137,654.51
  5. Step 5: Solve for x
    x = 10,137,654.51/4,332.88
  6. Step 6: Final answer
    x = 2,339.70

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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.