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Finding the Fourth Proportional to 4,598.48, 6,346.52 and 4,473.40

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Solution

The fourth proportional to 4,598.48, 6,346.52 and 4,473.40 is: 6,173.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.48 : 6,346.52 = 4,473.40 : x
  2. Step 2: Convert to fraction form
    4,598.48/6,346.52 = 4,473.40/x
  3. Step 3: Cross multiply
    4,598.48x = 6,346.52 × 4,473.40
  4. Step 4: Simplify right side
    4,598.48x = 28,390,522.57
  5. Step 5: Solve for x
    x = 28,390,522.57/4,598.48
  6. Step 6: Final answer
    x = 6,173.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.