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Finding the Fourth Proportional to 5,658.64, 8,488.02 and 1,709.93

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Solution

The fourth proportional to 5,658.64, 8,488.02 and 1,709.93 is: 2,564.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.64 : 8,488.02 = 1,709.93 : x
  2. Step 2: Convert to fraction form
    5,658.64/8,488.02 = 1,709.93/x
  3. Step 3: Cross multiply
    5,658.64x = 8,488.02 × 1,709.93
  4. Step 4: Simplify right side
    5,658.64x = 14,513,924.31
  5. Step 5: Solve for x
    x = 14,513,924.31/5,658.64
  6. Step 6: Final answer
    x = 2,564.91

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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.