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Finding the Fourth Proportional to 5,607.77, 8,409.35 and 4,117.74

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Solution

The fourth proportional to 5,607.77, 8,409.35 and 4,117.74 is: 6,174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.77 : 8,409.35 = 4,117.74 : x
  2. Step 2: Convert to fraction form
    5,607.77/8,409.35 = 4,117.74/x
  3. Step 3: Cross multiply
    5,607.77x = 8,409.35 × 4,117.74
  4. Step 4: Simplify right side
    5,607.77x = 34,627,495.63
  5. Step 5: Solve for x
    x = 34,627,495.63/5,607.77
  6. Step 6: Final answer
    x = 6,174.92

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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.