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Finding the Fourth Proportional to 4,417.95, 6,102.99 and 4,184.67

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Solution

The fourth proportional to 4,417.95, 6,102.99 and 4,184.67 is: 5,780.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,417.95 : 6,102.99 = 4,184.67 : x
  2. Step 2: Convert to fraction form
    4,417.95/6,102.99 = 4,184.67/x
  3. Step 3: Cross multiply
    4,417.95x = 6,102.99 × 4,184.67
  4. Step 4: Simplify right side
    4,417.95x = 25,538,999.16
  5. Step 5: Solve for x
    x = 25,538,999.16/4,417.95
  6. Step 6: Final answer
    x = 5,780.74

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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.