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Finding the Fourth Proportional to 4,762.49, 6,570.71 and 3,085.19

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Solution

The fourth proportional to 4,762.49, 6,570.71 and 3,085.19 is: 4,256.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.49 : 6,570.71 = 3,085.19 : x
  2. Step 2: Convert to fraction form
    4,762.49/6,570.71 = 3,085.19/x
  3. Step 3: Cross multiply
    4,762.49x = 6,570.71 × 3,085.19
  4. Step 4: Simplify right side
    4,762.49x = 20,271,855.93
  5. Step 5: Solve for x
    x = 20,271,855.93/4,762.49
  6. Step 6: Final answer
    x = 4,256.57

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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.