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Finding the Fourth Proportional to 5,547.58, 7,652.14 and 4,218.37

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Solution

The fourth proportional to 5,547.58, 7,652.14 and 4,218.37 is: 5,818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.58 : 7,652.14 = 4,218.37 : x
  2. Step 2: Convert to fraction form
    5,547.58/7,652.14 = 4,218.37/x
  3. Step 3: Cross multiply
    5,547.58x = 7,652.14 × 4,218.37
  4. Step 4: Simplify right side
    5,547.58x = 32,279,557.81
  5. Step 5: Solve for x
    x = 32,279,557.81/5,547.58
  6. Step 6: Final answer
    x = 5,818.67

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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.