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Finding the Fourth Proportional to 5,466.84, 7,547.76 and 4,205.40

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Solution

The fourth proportional to 5,466.84, 7,547.76 and 4,205.40 is: 5,806.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.84 : 7,547.76 = 4,205.40 : x
  2. Step 2: Convert to fraction form
    5,466.84/7,547.76 = 4,205.40/x
  3. Step 3: Cross multiply
    5,466.84x = 7,547.76 × 4,205.40
  4. Step 4: Simplify right side
    5,466.84x = 31,741,349.90
  5. Step 5: Solve for x
    x = 31,741,349.90/5,466.84
  6. Step 6: Final answer
    x = 5,806.16

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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.