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Finding the Fourth Proportional to 5,653.26, 7,810.70 and 4,706.01

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Solution

The fourth proportional to 5,653.26, 7,810.70 and 4,706.01 is: 6,501.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.26 : 7,810.70 = 4,706.01 : x
  2. Step 2: Convert to fraction form
    5,653.26/7,810.70 = 4,706.01/x
  3. Step 3: Cross multiply
    5,653.26x = 7,810.70 × 4,706.01
  4. Step 4: Simplify right side
    5,653.26x = 36,757,193.25
  5. Step 5: Solve for x
    x = 36,757,193.25/5,653.26
  6. Step 6: Final answer
    x = 6,501.95

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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.