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Finding the Fourth Proportional to 4,307.58, 6,462.03 and 1,385.52

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Solution

The fourth proportional to 4,307.58, 6,462.03 and 1,385.52 is: 2,078.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.58 : 6,462.03 = 1,385.52 : x
  2. Step 2: Convert to fraction form
    4,307.58/6,462.03 = 1,385.52/x
  3. Step 3: Cross multiply
    4,307.58x = 6,462.03 × 1,385.52
  4. Step 4: Simplify right side
    4,307.58x = 8,953,271.81
  5. Step 5: Solve for x
    x = 8,953,271.81/4,307.58
  6. Step 6: Final answer
    x = 2,078.49

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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.