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Finding the Fourth Proportional to 4,595.40, 6,893.10 and 4,307.40

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Solution

The fourth proportional to 4,595.40, 6,893.10 and 4,307.40 is: 6,461.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595.40 : 6,893.10 = 4,307.40 : x
  2. Step 2: Convert to fraction form
    4,595.40/6,893.10 = 4,307.40/x
  3. Step 3: Cross multiply
    4,595.40x = 6,893.10 × 4,307.40
  4. Step 4: Simplify right side
    4,595.40x = 29,691,338.94
  5. Step 5: Solve for x
    x = 29,691,338.94/4,595.40
  6. Step 6: Final answer
    x = 6,461.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.