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Finding the Fourth Proportional to 4,675.93, 7,000.40 and 4,347.50

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Solution

The fourth proportional to 4,675.93, 7,000.40 and 4,347.50 is: 6,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.93 : 7,000.40 = 4,347.50 : x
  2. Step 2: Convert to fraction form
    4,675.93/7,000.40 = 4,347.50/x
  3. Step 3: Cross multiply
    4,675.93x = 7,000.40 × 4,347.50
  4. Step 4: Simplify right side
    4,675.93x = 30,434,222.33
  5. Step 5: Solve for x
    x = 30,434,222.33/4,675.93
  6. Step 6: Final answer
    x = 6,508.70

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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.