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Finding the Fourth Proportional to 5,699.46, 8,534.26 and 4,582.94

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Solution

The fourth proportional to 5,699.46, 8,534.26 and 4,582.94 is: 6,862.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.46 : 8,534.26 = 4,582.94 : x
  2. Step 2: Convert to fraction form
    5,699.46/8,534.26 = 4,582.94/x
  3. Step 3: Cross multiply
    5,699.46x = 8,534.26 × 4,582.94
  4. Step 4: Simplify right side
    5,699.46x = 39,112,001.52
  5. Step 5: Solve for x
    x = 39,112,001.52/5,699.46
  6. Step 6: Final answer
    x = 6,862.40

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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.