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Finding the Fourth Proportional to 4,670.34, 6,971.32 and 4,116.77

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Solution

The fourth proportional to 4,670.34, 6,971.32 and 4,116.77 is: 6,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.34 : 6,971.32 = 4,116.77 : x
  2. Step 2: Convert to fraction form
    4,670.34/6,971.32 = 4,116.77/x
  3. Step 3: Cross multiply
    4,670.34x = 6,971.32 × 4,116.77
  4. Step 4: Simplify right side
    4,670.34x = 28,699,321.04
  5. Step 5: Solve for x
    x = 28,699,321.04/4,670.34
  6. Step 6: Final answer
    x = 6,145.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.