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Finding the Fourth Proportional to 5,718.33, 7,895.34 and 4,460.76

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Solution

The fourth proportional to 5,718.33, 7,895.34 and 4,460.76 is: 6,159.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.33 : 7,895.34 = 4,460.76 : x
  2. Step 2: Convert to fraction form
    5,718.33/7,895.34 = 4,460.76/x
  3. Step 3: Cross multiply
    5,718.33x = 7,895.34 × 4,460.76
  4. Step 4: Simplify right side
    5,718.33x = 35,219,216.86
  5. Step 5: Solve for x
    x = 35,219,216.86/5,718.33
  6. Step 6: Final answer
    x = 6,159.00

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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.