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Finding the Fourth Proportional to 5,898.34, 8,820.17 and 4,567.01

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Solution

The fourth proportional to 5,898.34, 8,820.17 and 4,567.01 is: 6,829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.34 : 8,820.17 = 4,567.01 : x
  2. Step 2: Convert to fraction form
    5,898.34/8,820.17 = 4,567.01/x
  3. Step 3: Cross multiply
    5,898.34x = 8,820.17 × 4,567.01
  4. Step 4: Simplify right side
    5,898.34x = 40,281,804.59
  5. Step 5: Solve for x
    x = 40,281,804.59/5,898.34
  6. Step 6: Final answer
    x = 6,829.35

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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.