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Finding the Fourth Proportional to 5,313.42, 7,970.04 and 1,417.86

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Solution

The fourth proportional to 5,313.42, 7,970.04 and 1,417.86 is: 2,126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.42 : 7,970.04 = 1,417.86 : x
  2. Step 2: Convert to fraction form
    5,313.42/7,970.04 = 1,417.86/x
  3. Step 3: Cross multiply
    5,313.42x = 7,970.04 × 1,417.86
  4. Step 4: Simplify right side
    5,313.42x = 11,300,400.91
  5. Step 5: Solve for x
    x = 11,300,400.91/5,313.42
  6. Step 6: Final answer
    x = 2,126.77

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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.