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Finding the Fourth Proportional to 5,730.95, 8,557.62 and 4,547.67

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Solution

The fourth proportional to 5,730.95, 8,557.62 and 4,547.67 is: 6,790.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.95 : 8,557.62 = 4,547.67 : x
  2. Step 2: Convert to fraction form
    5,730.95/8,557.62 = 4,547.67/x
  3. Step 3: Cross multiply
    5,730.95x = 8,557.62 × 4,547.67
  4. Step 4: Simplify right side
    5,730.95x = 38,917,206.67
  5. Step 5: Solve for x
    x = 38,917,206.67/5,730.95
  6. Step 6: Final answer
    x = 6,790.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.