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Finding the Fourth Proportional to 4,710.56, 7,054.90 and 4,546.53

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Solution

The fourth proportional to 4,710.56, 7,054.90 and 4,546.53 is: 6,809.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.56 : 7,054.90 = 4,546.53 : x
  2. Step 2: Convert to fraction form
    4,710.56/7,054.90 = 4,546.53/x
  3. Step 3: Cross multiply
    4,710.56x = 7,054.90 × 4,546.53
  4. Step 4: Simplify right side
    4,710.56x = 32,075,303.13
  5. Step 5: Solve for x
    x = 32,075,303.13/4,710.56
  6. Step 6: Final answer
    x = 6,809.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.